Admissibility for positive continuous-time descriptor systems

被引：15
|
作者：
Zhang, Youmei [1 ]
Zhang, Qingling [1 ]
Tanaka, Tamaki [2 ]
Cai, Min [3 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Peoples R China
[2] Niigata Univ, Grad Sch Sci & Technol, Niigata 9502181, Japan
[3] Dalian Jiaotong Univ, Sch Sci, Dalian 116028, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 11期
关键词：
positive systems; descriptor systems; impulse-free; admissibility; c-monomial decomposition; REACHABILITY;
D O I：
10.1080/00207721.2012.685200
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Positive descriptor systems are a new research branch in descriptor systems. This article is devoted to the study of the admissibility property for positive continuous-time descriptor systems. Based on Lyapunov inequality existed for stability of positive descriptor systems, we provide a necessary and sufficient condition to guarantee the admissibility via linear matrix inequalities (LMIs). Furthermore, a necessary and sufficient condition to guarantee the admissibility is established by means of generalised Lyapunov equation if c-monomial decomposition is applied to positive descriptor systems. Finally, examples are given to illustrate the validity of the results obtained.
引用
收藏
页码：2158 / 2165
页数：8
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